Inertial relaxed CQ algorithm for split feasibility problems with non-Lipschitz gradient operators

Optimization ◽  
2021 ◽  
pp. 1-22
Author(s):  
Xiaojun Ma ◽  
Hongwei Liu
Keyword(s):  
Split Feasibility Problems ◽  
Cq Algorithm ◽  
Split Feasibility

scholarly journals The modified inertial relaxed CQ algorithm for solving the split feasibility problems

2018 ◽  
Vol 14 (4) ◽  
pp. 1595-1615 ◽  
Author(s):  
Suthep Suantai ◽  
◽  
Nattawut Pholasa ◽  
Prasit Cholamjiak ◽  
Keyword(s):  
Split Feasibility Problems ◽  
Cq Algorithm ◽  
Split Feasibility

scholarly journals A new relaxed CQ algorithm for solving split feasibility problems in Hilbert spaces and its applications

2019 ◽  
Vol 15 (2) ◽  
pp. 963-984
Author(s):  
Aviv Gibali ◽  
◽  
Dang Thi Mai ◽  
Nguyen The Vinh ◽  
◽  
...  
Keyword(s):  
Hilbert Spaces ◽  
Split Feasibility Problems ◽  
Cq Algorithm ◽  
Split Feasibility

scholarly journals ALGORITHMIC AND ANALYTICAL APPROACHES TO THE SPLIT FEASIBILITY PROBLEMS AND FIXED POINT PROBLEMS

2013 ◽  
Vol 17 (5) ◽  
pp. 1839-1853 ◽  
Author(s):  
Yeong-Cheng Liou ◽  
Li-Jun Zhu ◽  
Yonghong Yao ◽  
Chiuh-Cheng Chyu
Keyword(s):  
Fixed Point ◽  
Fixed Point Problems ◽  
Split Feasibility Problems ◽  
Analytical Approaches ◽  
Split Feasibility

scholarly journals Iterative methods for generalized split feasibility problems in Banach spaces

2017 ◽  
Vol 33 (1) ◽  
pp. 09-26
Author(s):  
QAMRUL HASAN ANSARI ◽  
◽  
AISHA REHAN ◽  
◽  
Keyword(s):  
Weak Convergence ◽  
Banach Spaces ◽  
Iterative Methods ◽  
Hilbert Spaces ◽  
Equilibrium Problems ◽  
Iterative Algorithms ◽  
Approximate Solutions ◽  
Split Feasibility Problems ◽  
Convergence Results ◽  
Split Feasibility

Inspired by the recent work of Takahashi et al. [W. Takahashi, H.-K. Xu and J.-C. Yao, Iterative methods for generalized split feasibility problems in Hilbert spaces, Set-Valued Var. Anal., 23 (2015), 205–221], in this paper, we study generalized split feasibility problems (GSFPs) in the setting of Banach spaces. We propose iterative algorithms to compute the approximate solutions of such problems. The weak convergence of the sequence generated by the proposed algorithms is studied. As applications, we derive some algorithms and convergence results for some problems from nonlinear analysis, namely, split feasibility problems, equilibrium problems, etc. Our results generalize several known results in the literature including the results of Takahashi et al. [W. Takahashi, H.-K. Xu and J.-C. Yao, Iterative methods for generalized split feasibility problems in Hilbert spaces, SetValued Var. Anal., 23 (2015), 205–221].

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